A SURFACE PHASE FIELD MODEL FOR TWO-PHASE BIOLOGICAL MEMBRANES

• Published in: SIAM journal on applied mathematics Vol. 70; no. 7/8; pp. 2904 - 2928
• Main Authors: ELLIOTT, CHARLES M., STINNER, BJÖRN
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2010
• Subjects: Asymptotic methods; Bending; Calculus; Cell membranes; Coordinate systems; Curvature; Deformation; Diffusion; Diffusion layers; Elastic bending; Equilibrium equations; Eulers equations; Interfaces; Lagrange multiplier; Lipids; Mathematical models; Membranes; P branes; Phase separation; Studies; Vector fields

We study vesicles formed by lipid bilayers that are governed by an elastic bending energy and on which the lipids laterally separate forming two different phases. The energy laden phase interfaces may be modeled as curves on the hypersurface representing the membrane (sharp interface model). The pha...